The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.
<h3>What is a triangular prism?</h3>
When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.
It is given that:
A right triangular prism with dimensions
As we know, the volume of the right triangular prism is given by:
Volume = (1/2)bhl
Here b and l are the base dimensions h is the height of the prism
From the trigonometric ratios:
h = 10sin(25) = 4.23 units
b = 10cos(25) = 9.06 units
l = 8 units
Volume = (1/2)(9.06)(4.23)(8)
Volume = 153.30 cubic units
Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.
Learn more about triangular prisms here:
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Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
Answer:
3d - 4f
Step-by-step explanation:
(12d + 28f) - 5f - (27f + 9d)
12d + 28f - 5f - 27f - 9d
(12-9)d + (28-5-27)f
3d - 4f
don't forget to put bracket, it is fundamental
